SAT Math: Passport to Advanced Math

Where is the vertex of this parabola?

y = x² – 6x + 2

• (3, -7)

• (0, 2)

• (-3, 29)

• (6, 2)

What are the zeros of this function?

(x - 1)(x + 5)(x - 1)(x + 8)

• There are no zeros

• x = -1, 5, and 8

• x = 1, -5, and -8

• x = 1

A student launches a homemade rocket from the roof of his house. The trajectory of the rocket is represented by the function h = -0.5t² + 8t + 10, where h equals the height of the rocket (in feet) above the ground (after 5 seconds).

What is the maximum height reached by the rocket, in feet?

A student launches a homemade rocket from the roof of his house. The trajectory of the rocket is represented by the function h = -0.5t² + 8t + 10, where h equals the height of the rocket (in feet) above the ground (after t seconds).

For how long is the rocket in motion (rounded to the nearest second)?

• 8 seconds

• 10 seconds

• 17 seconds

• 42 seconds

Solve for x.

x² + 2x – 15 = 0

• x = -3; x = 5

• x = -5; x = 3

• x = 0; x = 1

• There are no real solutions

Solve for x.

y = x² – 5x – 4

• x = (-5 + √41)/2; x = (-5 - √41)/2

• x = (5 + √9)/2; x = (5 - √9)/2

• There are no real solutions

• x = (5 + √41)/2; x = (5 - √41)/2

An old car is worth $4,000. Its value decreases 15% each year. What will its value be in 6 years? (Round your answer to the nearest cent.)

• $9252.24

• $1508.60

• $600.20

• $0.05

Simplify the following expression:

2x⁴(5x - 4x³)

• 10x⁵ - 8x⁷

• 7x⁵ - 6x⁷

• 10x⁴ - 8x⁶

• 10x⁵ - 8x¹²

5x^-4

• 5x^-20

• 5/x⁴

• 1/5x⁴

• 5x⁴

Express as a fractional exponent.

√(x⁹)

• x^2/9

• x^9/2

• x³

• x⁷